Contributions of optimized tensor interactions on the binding energies of nuclei

The tensor parts of Skyrme interactions are constrained from the collective charge-exchange spin–dipole and Gamow–Teller excitation energies in $$^{90}$$Zr and $$^{208}$$Pb, together with the isotopic dependence of energy splitting between proton $$h_{11/2}$$ and $$g_{7/2}$$ single-particle orbits along the $$Z=50$$ isotopes. With the optimized tensor interactions, the binding energies of spherical or weakly deformed nuclei with $$A=54{-}228$$ are studied systematically. The present results show that the global effect of tensor interaction is attractive and systematically increases the binding energies of all these nuclei and makes the nuclei more bound. The root mean squared deviation of the calculated binding energies from the experimental values is significantly improved by the optimized tensor interactions, and the contribution of the tensor interaction to the binding energy is estimated.